Performance at maximum figure of merit for a Brownian Carnot refrigerator

This paper focuses on the coefficient of performance (COP) at maximum figure of merit $\chi$ for a Brownian Carnot-like refrigerator, within the context of symmetric Low-Dissipation approach. Our proposal is based on the Langevin equation for a Brownian particle bounded to a harmonic potential trap, which can perform Carnot-like cycles at finite time. We show that under quasistatic conditions the COP has the same expression as the macroscopic Carnot refrigerator. However, for irreversible cycles at finite time and under symmetric dissipation, the optimal COP is the counterpart of Curzon-Ahlborn efficiency for irreversible macroscopic refrigerators.
Comment: 5 pages, 2 figures